Disjoint hypercyclic weighted translations on groups
type: Item
instance of: scholarly article
title: Disjoint hypercyclic weighted translations on groups
zbMATH Open document ID: 1420.47004
DOI: 10.1215/17358787-2017-0001
author: Yanyan Li
published in: Banach Journal of Mathematical Analysis
publication date: 2017-07-27T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.bjma/1492618124
review text: \textit{L. Bernal-González} [Stud. Math. 182, No. 2, 113--131 (2007; Zbl 1134.47006)] and \textit{J. Bès} and \textit{A. Peris} [J. Math. Anal. Appl. 336, No. 1, 297--315 (2007; Zbl 1129.47007)] introduced and studied independently the concepts of disjoint hypercyclic and supercyclic operators. Inspired by their work, the author of the present paper continues his recent research on weighted translation operators on function spaces on locally compact groups \(G\) and presents sufficient and necessary conditions for such operators on the Lebesgue space \(L_p(G)\), \(1 \leq p < \infty\), to be disjoint hypercyclic and disjoint supercyclic.
reviewed by: José Bonet
Mathematics Subject Classification ID: 47A16
Mathematics Subject Classification ID: 47B37
Mathematics Subject Classification ID: 43A15
zbMATH DE Number: 6754298
zbMATH Keywords: disjoint hypercyclicity
zbMATH Keywords: topological transitivity
zbMATH Keywords: locally compact group
zbMATH Keywords: spaces of integrable functions
MaRDI profile type: Publication
OpenAlex ID: W2606603125
description: scientific article; zbMATH DE number 6754298